$\"\"$

The sequence is $\"\"$ .

The first term is $\"\"$ .

The second term is $\"\"$ .

The third term is $\"\"$ .

The fourth term is $\"\"$ .

The sequence is $\"\"$ .

A sequence $\"\"$ is monotonic if its terms are non decreasing $\"\"$ or if its terms are non increasing $\"\"$ .

The sequnce is sine function it oscillates between $\"\"$ .

Therefore, the sequence is not monotonic.

$\"\"$

The sequence is $\"\"$ .

The sequence is bounded between $\"\"$ .

The sequence is bounded.

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Graph the sequence $\"\"$ .

$\"\"$

Observe the graph:

The sequence is not monotonic since it decreases and then starts increasing.

The sequence is bounded.

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The sequence is not monotonic and bounded.